Improved asymptotic stability analysis for Lur'e systems with sector and slope restricted nonlinearities

S. M. Lee; Ju H. Park; O. M. Kwon

doi:10.1016/j.physleta.2006.10.064

Improved asymptotic stability analysis for Lur'e systems with sector and slope restricted nonlinearities

S. M. Lee, Ju H. Park, O. M. Kwon

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

In this Letter, we propose new criteria for asymptotic stability of Lur'e systems with sector and slope restrictions. The criteria are expressed in terms of linear matrix inequality which has full block scaling matrix. By interpreting the criteria in the frequency domain using KYP lemma, the less conservativeness of the proposed analysis method is investigated. Furthermore, we analyze the dynamic system with input saturation using sector and slop properties of the saturation nonlinearity. A numerical example shows the effectiveness of the proposed method.

Original language	English
Pages (from-to)	348-351
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	362
Issue number	5-6
DOIs	https://doi.org/10.1016/j.physleta.2006.10.064
State	Published - 12 Mar 2007

Keywords

LMIs
Lur'e systems
Sector and slope restrictions

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10.1016/j.physleta.2006.10.064

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abstract = "In this Letter, we propose new criteria for asymptotic stability of Lur'e systems with sector and slope restrictions. The criteria are expressed in terms of linear matrix inequality which has full block scaling matrix. By interpreting the criteria in the frequency domain using KYP lemma, the less conservativeness of the proposed analysis method is investigated. Furthermore, we analyze the dynamic system with input saturation using sector and slop properties of the saturation nonlinearity. A numerical example shows the effectiveness of the proposed method.",

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AB - In this Letter, we propose new criteria for asymptotic stability of Lur'e systems with sector and slope restrictions. The criteria are expressed in terms of linear matrix inequality which has full block scaling matrix. By interpreting the criteria in the frequency domain using KYP lemma, the less conservativeness of the proposed analysis method is investigated. Furthermore, we analyze the dynamic system with input saturation using sector and slop properties of the saturation nonlinearity. A numerical example shows the effectiveness of the proposed method.

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KW - Sector and slope restrictions

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IS - 5-6

ER -

Improved asymptotic stability analysis for Lur'e systems with sector and slope restricted nonlinearities

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Keywords

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